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All results from a given calculation for C6H5CH2 (benzyl radical)

using model chemistry: wB97X-D/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at wB97X-D/TZVP
 hartrees
Energy at 0K-270.900822
Energy at 298.15K-270.907759
HF Energy-270.900822
Nuclear repulsion energy261.019391
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at wB97X-D/TZVP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3233 3087 10.88      
2 A1 3214 3069 3.56      
3 A1 3199 3055 6.25      
4 A1 3174 3031 6.55      
5 A1 1623 1550 1.01      
6 A1 1515 1447 9.00      
7 A1 1501 1434 2.73      
8 A1 1290 1232 2.47      
9 A1 1198 1144 0.02      
10 A1 1050 1003 2.78      
11 A1 1003 958 0.60      
12 A1 842 805 0.36      
13 A1 540 516 0.33      
14 A2 983 938 0.00      
15 A2 841 803 0.00      
16 A2 498 475 0.00      
17 A2 391 373 0.00      
18 B1 986 942 0.10      
19 B1 901 861 4.84      
20 B1 761 726 94.39      
21 B1 709 677 0.13      
22 B1 664 634 35.93      
23 B1 478 456 15.64      
24 B1 198 189 1.72      
25 B2 3276 3129 6.81      
26 B2 3219 3074 28.72      
27 B2 3201 3057 1.02      
28 B2 1606 1533 0.87      
29 B2 1491 1424 6.23      
30 B2 1365 1304 0.40      
31 B2 1327 1268 0.47      
32 B2 1185 1132 0.10      
33 B2 1130 1079 3.95      
34 B2 982 938 1.78      
35 B2 633 605 0.00      
36 B2 366 349 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 25285.6 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 24147.8 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at wB97X-D/TZVP
ABC
0.18652 0.09097 0.06115

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.989
C2 0.000 1.211 0.251
C3 0.000 1.205 -1.128
C4 0.000 0.000 -1.831
C5 0.000 -1.205 -1.128
C6 0.000 -1.211 0.251
C7 0.000 0.000 2.392
H8 0.000 2.151 0.791
H9 0.000 2.143 -1.671
H10 0.000 0.000 -2.913
H11 0.000 -2.143 -1.671
H12 0.000 -2.151 0.791
H13 0.000 0.927 2.951
H14 0.000 -0.927 2.951

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.41852.43612.81952.43611.41851.40342.16023.41563.90243.41562.16022.16992.1699
C21.41851.37902.40802.78182.42242.46061.08412.13543.38793.86553.40542.71523.4443
C32.43611.37901.39452.40962.78183.72122.13981.08372.15363.39143.86594.08874.6027
C42.81952.40801.39451.39452.40804.22303.39112.14881.08282.14883.39114.87054.8705
C52.43612.78182.40961.39451.37903.72123.86593.39142.15361.08372.13984.60274.0887
C61.41852.42242.78182.40801.37902.46063.40543.86553.38792.13541.08413.44432.7152
C71.40342.46063.72124.22303.72122.46062.68184.59375.30584.59372.68181.08221.0822
H82.16021.08412.13983.39113.86593.40542.68182.46184.28364.94964.30212.48283.7603
H93.41562.13541.08372.14883.39143.86554.59372.46182.47714.28584.94964.77905.5484
H103.90243.38792.15361.08282.15363.38795.30584.28362.47712.47714.28365.93715.9371
H113.41563.86553.39142.14881.08372.13544.59374.94964.28582.47712.46185.54844.7790
H122.16023.40543.86593.39112.13981.08412.68184.30214.94964.28362.46183.76032.4828
H132.16992.71524.08874.87054.60273.44431.08222.48284.77905.93715.54843.76031.8539
H142.16993.44434.60274.87054.08872.71521.08223.76035.54845.93714.77902.48281.8539

picture of benzyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 121.102 C1 C2 H8 118.740
C1 C6 C5 121.102 C1 C6 H12 118.740
C1 C7 H13 121.069 C1 C7 H14 121.069
C2 C1 C6 117.266 C2 C1 C7 121.367
C2 C3 C4 120.501 C2 C3 H9 119.777
C3 C2 H8 120.158 C3 C4 C5 119.527
C3 C4 H10 120.236 C4 C3 H9 119.722
C4 C5 C6 120.501 C4 C5 H11 119.722
C5 C1 C7 150.358 C5 C4 H10 120.236
C5 C6 H12 120.158 C6 C5 H11 119.777
H13 C7 H14 117.861
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.140      
2 C -0.164      
3 C -0.117      
4 C -0.134      
5 C -0.117      
6 C -0.164      
7 C -0.327      
8 H 0.124      
9 H 0.124      
10 H 0.127      
11 H 0.124      
12 H 0.124      
13 H 0.130      
14 H 0.130      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.109 0.109
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.540 0.000 0.000
y 0.000 -36.854 0.000
z 0.000 0.000 -37.368
Traceless
 xyz
x -9.430 0.000 0.000
y 0.000 5.101 0.000
z 0.000 0.000 4.329
Polar
3z2-r28.658
x2-y2-9.687
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.397 0.000 0.000
y 0.000 12.096 0.000
z 0.000 0.000 16.825


<r2> (average value of r2) Å2
<r2> 189.200
(<r2>)1/2 13.755